Mathematics classroom notes
Year 3 - Multiplication facts — 2, 3, 5, and 10
Strand / topic: Number and Algebra / Multiplication facts — 2, 3, 5, and 10
Based on Pi Leo Academy's Victorian Curriculum F-10 Mathematics year-level guide and aligned to NAPLAN-style mathematical reasoning. Official curriculum code: Not stated in the provided curriculum source.
By the end of this note, students should be able to explain multiplication facts — 2, 3, 5, and 10, use a clear method, solve simple and test-style questions, and check their answers for Year 3 Number and Algebra work.
It builds number sense, reasoning and confidence for classwork, quizzes and problem solving. This is a NAPLAN year, so students should practise reading the question carefully, choosing the correct operation or formula, showing working and checking whether the answer is reasonable.
1 What this means
This topic is about choosing and carrying out the correct operation: addition, subtraction, multiplication or division.
Calculations become easier when students choose the operation before they start working. In Year 3, students should connect the words in the question to a model such as a diagram, table, number line, grid, formula or equation. They then work in small steps and check whether the answer matches the question, the units and the size of the numbers.
- Start with objects, drawings or a real-life situation, then move to numbers and symbols.
- Addition and multiplication usually combine or repeat; subtraction and division usually compare, remove or share.
- Written algorithms work because place values stay lined up.
- Always check with an estimate or inverse operation.
Use this visual to organise multiplication facts — 2, 3, 5, and 10 before calculating.
Draw the jumps first, then write the number sentence.
2 Important rules / ideas
Decide whether the problem combines, compares, repeats, shares or groups before calculating.
In written addition and subtraction, ones stay with ones, tens stay with tens and so on.
Use subtraction to check addition, addition to check subtraction, division to check multiplication and multiplication to check division.
Important vocabulary
The answer to an addition problem.
The answer to a subtraction problem.
The answer to a multiplication problem.
The answer to a division problem.
3 Step-by-step method
- Underline what the question asks.
- Choose the operation or operations.
- Calculate step by step using a written or mental strategy.
- Check with the inverse operation or an estimate.
4 Worked examples
Work out 48 + 35.
- Add ones: 8 + 5 = 13.
- Write 3 ones and trade 1 ten.
- Add tens: 4 + 3 + 1 = 8.
- Answer: 83.
Work out 306 - 178.
- Trade 1 hundred so 0 tens becomes 10 tens.
- Trade 1 ten so 6 ones becomes 16 ones.
- 16 - 8 = 8, 9 - 7 = 2, 2 - 1 = 1.
- Answer: 128.
Calculate 24 x 6.
- Break 24 into 20 and 4.
- 20 x 6 = 120.
- 4 x 6 = 24.
- 120 + 24 = 144.
Four students share 96 stickers equally. How many does each get?
- Sharing equally means division.
- 96 / 4 = 24.
- Each student gets 24 stickers.
5 More examples
Find 199 + 48.
Add 200 + 48 = 248, then subtract 1. Answer: 247.
There are 6 boxes with 24 pencils in each. How many pencils?
Equal groups mean multiplication: 6 x 24 = 144 pencils.
NAPLAN-style thinking
In NAPLAN-style questions, multiplication facts — 2, 3, 5, and 10 may appear as a short calculation, a word problem, a diagram, a table or a multi-step reasoning question. Students should slow down and decide what the question is really asking before calculating.
Estimate first and eliminate answers that are too small, too large or use the wrong unit.
Write only the answer required, but use working on paper to avoid mental slips.
Circle the numbers, underline the action words and decide whether all numbers are needed.
Do one step at a time and label intermediate answers so the final step is clear.
6 Common mistakes
Read the final sentence before calculating.
Name the topic and method before starting.
Estimate or use inverse operations to check.
- Choosing the first operation seen in the wording.
- Forgetting units, labels or place value.
- Stopping after the first step when the question asks for a final comparison.
7 Tips to remember
Combine, compare, repeat, share or group before choosing an operation.
Neat columns or a short strategy line prevent place-value slips.
Use the opposite operation to check the result.
Parent teaching tips
- Ask your child to explain the method aloud before writing the answer.
- Use a real-life context at home, such as shopping, cooking, sport scores, maps or timetables.
- Praise clear working and checking, not only speed.
- Encourage a quick diagram or table for word problems before calculating.
Remember
For multiplication facts — 2, 3, 5, and 10, identify the question type, choose a clear method, show working and check the answer.
8 Quick practice
- Work out 48 + 35.
- Work out 306 - 178.
- Calculate 24 x 6.
- Four students share 96 stickers equally. How many does each get?
9 Answers / explanation
Question 1
Answer: 83.
Add ones: 8 + 5 = 13. Write 3 ones and trade 1 ten. Add tens: 4 + 3 + 1 = 8. Answer: 83.
Question 2
Answer: 128.
Trade 1 hundred so 0 tens becomes 10 tens. Trade 1 ten so 6 ones becomes 16 ones. 16 - 8 = 8, 9 - 7 = 2, 2 - 1 = 1. Answer: 128.
Question 3
Answer: 120 + 24 = 144.
Break 24 into 20 and 4. 20 x 6 = 120. 4 x 6 = 24. 120 + 24 = 144.
Question 4
Answer: Each student gets 24 stickers.
Sharing equally means division. 96 / 4 = 24. Each student gets 24 stickers.
Extension challenge
Create your own multi-step question for this topic using an Australian context, then solve it and explain each step.
Hint: Use shopping, sport, maps, timetables, weather, school events or measurement at home.
Answer guide
Answers will vary. A strong answer includes clear working, correct units and a final sentence.
Quick revision
- Know what multiplication facts — 2, 3, 5, and 10 is asking you to find.
- Choose a diagram, table, formula, number line or equation before calculating.
- Show enough working that you can find and fix mistakes.
- Check the final answer, units and reasonableness.